What is the name of song in American pie that goes chickadee china?

The song you're referring to is "A Boy Named Sue" by Johnny Cash. The lyrics relevant to your question are "Chick a boom, chick a boom, chick a boom, chick a boom, That’s the way I talk, son. Chick a chick a chick a chick, Chick a boom, chick a boom, chick a boom, chick a boom, You say the line, son."